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Mathematics
Mathematics
Problem
In quadrilateral
A
B
C
D
ABCD
A
B
C
D
, it is given that
∠
A
D
B
=
58
∘
\angle ADB = 58^{\circ}
∠
A
D
B
=
5
8
∘
and
∠
A
C
B
=
58
∘
\angle ACB = 58^{\circ}
∠
A
C
B
=
5
8
∘
. Which of the following statements is necessarily correct? a)
∠
A
B
D
=
122
∘
\angle ABD = 122^{\circ}
∠
A
B
D
=
12
2
∘
. b)
A
B
=
C
D
AB = CD
A
B
=
C
D
. c)
A
B
C
D
is a cyclic quadrilateral.
ABCD\,\text{is a cyclic quadrilateral.}
A
B
C
D
is a cyclic quadrilateral.
d)
A
B
=
A
D
AB = AD
A
B
=
A
D
.
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